133130010000 has 800 divisors, whose sum is σ = 488093760000. Its totient is φ = 31030272000.

The previous prime is 133130009983. The next prime is 133130010017. The reversal of 133130010000 is 10031331.

It is an interprime number because it is at equal distance from previous prime (133130009983) and next prime (133130010017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 893489926 + ... + 893490074.

It is an arithmetic number, because the mean of its divisors is an integer number (610117200).

Almost surely, 2^133130010000 is an apocalyptic number.

133130010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133130010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244046880000).

133130010000 is an abundant number, since it is smaller than the sum of its proper divisors (354963750000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133130010000 is a wasteful number, since it uses less digits than its factorization.

133130010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 133130010000 its reverse (10031331), we get a palindrome (133140041331).

The spelling of 133130010000 in words is "one hundred thirty-three billion, one hundred thirty million, ten thousand".